164661600 has 288 divisors, whose sum is σ = 592462080. Its totient is φ = 39536640.

The previous prime is 164661589. The next prime is 164661641. The reversal of 164661600 is 6166461.

It is a super-2 number, since 2×164661600² = 54226885029120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048722 + ... + 1048878.

It is an arithmetic number, because the mean of its divisors is an integer number (2057160).

Almost surely, 2^164661600 is an apocalyptic number.

164661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296231040).

164661600 is an abundant number, since it is smaller than the sum of its proper divisors (427800480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164661600 is a wasteful number, since it uses less digits than its factorization.

164661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164661600 is about 12832.0536158481. The cubic root of 164661600 is about 548.1054372929.

The spelling of 164661600 in words is "one hundred sixty-four million, six hundred sixty-one thousand, six hundred".